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Commitments and Contingencies (Narrative) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
May 31, 2023
Commitments And Contingencies [Line Items]      
Liabilities $ 279,339 $ 290,009  
Lindsay, Nebraska Facility [Member]      
Commitments And Contingencies [Line Items]      
Current environmental remediation accrual     $ 10,600
Liabilities $ 8,000 $ 8,000  
Liabilities discounted risk Free interest rate 1.20% 1.20%  
Discounted portion of liabilities $ 9,100 $ 9,100